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CBSE Class 9 Answered

Using suitable identity evaluate (-32)3 + (18)3 + (14)3.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

We know

x3 + y3 + z3 - 3xyz = 0, if x + +y + z = 0

Let

x = -32, y = 18, z = 14

x + y + z = (-32) + (18) + (14) = 0

Therefore,

(-32)3 + (18)3 + (14)3 = 3(-32) (18) (14)

= -24192

Answered by | 04 Jun, 2014, 03:23: PM
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